Calculate the wavelength of an electron for a certain energy

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To calculate the wavelength of an electron given its energy, the De Broglie wavelength formula is essential. The relationship between energy and momentum is expressed as E = P² / 2m₀, which can be used to derive the wavelength. The De Broglie wavelength is calculated using the formula λ = h/p, where h is Planck's constant and p is momentum. Understanding the derivation involves manipulating the energy-momentum relationship. This approach provides a clear path to finding the electron's wavelength.
mitochondriaro
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Got a hmwk question here that asks to calculate λ of an electron with a certain amount of energy, and sadly couldn't figure it out. My solns manual does a fantastic job of regurgitating the formula:
E = P2 / 2m0​

to be used to get the numerical soln which is technically all I need but I'm an overachieving nerd and I have no idea how they derived this; I tried messing around with the energy-momentum formula but I still can't see it any ideas?

Thanks a lot!
 
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[URL="https://www.physicsforums.com/insights/when-did-mitochondria-evolve/ said:
mitochondria[/URL]ro, post: 4365896"]Got a hmwk question here that asks to calculate λ of an electron with a certain amount of energy, and sadly couldn't figure it out.

Hi mitochondriaro.

Sounds like you'd be looking for its De Broglie wavelength.
 
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